THE ASYMPTOTIC BEHAVIOUR OF EXTINCTION PROBABILITY IN THE SMITH-WILKINSON BRANCHING PROCESS

THE ASYMPTOTIC BEHAVIOUR OF EXTINCTION PROBABILITY IN THE SMITH-WILKINSON BRANCHING PROCESS
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史密斯-威尔金森分支过程中灭绝概率的渐近行为

DOI:
10.1017/s0001867800025349
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发表时间:
1993
期刊:
影响因子:
--
通讯作者:
Lu Zhunwei
Lu Zhunwei
中科院分区:
--
文献类型:
--
作者:
D. Grey;Lu Zhunwei

文献摘要

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在一定的正则性条件下,在超临界Smith-Wilkinson分枝过程中,当初始种群规模k趋于无穷大时,相应的灭绝概率Qk收敛到零的速度类似于:
Under some regularity conditions, in the supercritical Smith-Wilkinson branching process it is shown that as k, the starting population size, tends to infinity, the rate of convergence of qk, the corresponding extinction probability, to zero is similar to that of: